Exponential Form Worksheet: Convert Expanded Exponential Form to Standard Form (Thousands Place Value)

To solve the problem, we need to convert each expanded exponential form into its standard form. The key is to understand that each term in the expanded form represents a digit in the number, with the exponent of 10 indicating the place value.

Step-by-Step Solution:

#### 1) \( 1 \times 10^5 + 2 \times 10^4 + 8 \times 10^3 + 6 \times 10^1 + 5 \times 10^0 \)
- \( 1 \times 10^5 = 100,000 \)
- \( 2 \times 10^4 = 20,000 \)
- \( 8 \times 10^3 = 8,000 \)
- \( 6 \times 10^1 = 60 \)
- \( 5 \times 10^0 = 5 \)

Adding these together:
\[ 100,000 + 20,000 + 8,000 + 60 + 5 = 128,065 \]

Answer: 128,065

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#### 2) \( 3 \times 10^5 + 5 \times 10^4 + 8 \times 10^3 + 1 \times 10^2 + 7 \times 10^1 + 9 \times 10^0 \)
- \( 3 \times 10^5 = 300,000 \)
- \( 5 \times 10^4 = 50,000 \)
- \( 8 \times 10^3 = 8,000 \)
- \( 1 \times 10^2 = 100 \)
- \( 7 \times 10^1 = 70 \)
- \( 9 \times 10^0 = 9 \)

Adding these together:
\[ 300,000 + 50,000 + 8,000 + 100 + 70 + 9 = 358,179 \]

Answer: 358,179

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#### 3) \( 2 \times 10^5 + 7 \times 10^4 + 8 \times 10^3 + 1 \times 10^2 + 9 \times 10^1 + 6 \times 10^0 \)
- \( 2 \times 10^5 = 200,000 \)
- \( 7 \times 10^4 = 70,000 \)
- \( 8 \times 10^3 = 8,000 \)
- \( 1 \times 10^2 = 100 \)
- \( 9 \times 10^1 = 90 \)
- \( 6 \times 10^0 = 6 \)

Adding these together:
\[ 200,000 + 70,000 + 8,000 + 100 + 90 + 6 = 278,196 \]

Answer: 278,196

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#### 4) \( 7 \times 10^4 + 2 \times 10^3 + 3 \times 10^2 + 1 \times 10^1 + 4 \times 10^0 \)
- \( 7 \times 10^4 = 70,000 \)
- \( 2 \times 10^3 = 2,000 \)
- \( 3 \times 10^2 = 300 \)
- \( 1 \times 10^1 = 10 \)
- \( 4 \times 10^0 = 4 \)

Adding these together:
\[ 70,000 + 2,000 + 300 + 10 + 4 = 72,314 \]

Answer: 72,314

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#### 5) \( 8 \times 10^4 + 8 \times 10^3 + 1 \times 10^2 + 9 \times 10^1 + 8 \times 10^0 \)
- \( 8 \times 10^4 = 80,000 \)
- \( 8 \times 10^3 = 8,000 \)
- \( 1 \times 10^2 = 100 \)
- \( 9 \times 10^1 = 90 \)
- \( 8 \times 10^0 = 8 \)

Adding these together:
\[ 80,000 + 8,000 + 100 + 90 + 8 = 88,198 \]

Answer: 88,198

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#### 6) \( 7 \times 10^5 + 3 \times 10^4 + 6 \times 10^3 + 2 \times 10^2 + 4 \times 10^1 + 7 \times 10^0 \)
- \( 7 \times 10^5 = 700,000 \)
- \( 3 \times 10^4 = 30,000 \)
- \( 6 \times 10^3 = 6,000 \)
- \( 2 \times 10^2 = 200 \)
- \( 4 \times 10^1 = 40 \)
- \( 7 \times 10^0 = 7 \)

Adding these together:
\[ 700,000 + 30,000 + 6,000 + 200 + 40 + 7 = 736,247 \]

Answer: 736,247

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#### 7) \( 8 \times 10^3 + 3 \times 10^2 + 6 \times 10^1 + 5 \times 10^0 \)
- \( 8 \times 10^3 = 8,000 \)
- \( 3 \times 10^2 = 300 \)
- \( 6 \times 10^1 = 60 \)
- \( 5 \times 10^0 = 5 \)

Adding these together:
\[ 8,000 + 300 + 60 + 5 = 8,365 \]

Answer: 8,365

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#### 8) \( 1 \times 10^7 + 7 \times 10^4 + 4 \times 10^3 + 2 \times 10^2 + 5 \times 10^1 + 8 \times 10^0 \)
- \( 1 \times 10^7 = 10,000,000 \)
- \( 7 \times 10^4 = 70,000 \)
- \( 4 \times 10^3 = 4,000 \)
- \( 2 \times 10^2 = 200 \)
- \( 5 \times 10^1 = 50 \)
- \( 8 \times 10^0 = 8 \)

Adding these together:
\[ 10,000,000 + 70,000 + 4,000 + 200 + 50 + 8 = 10,074,258 \]

Answer: 10,074,258

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Final Answers:

1. 128,065
2. 358,179
3. 278,196
4. 72,314
5. 88,198
6. 736,247
7. 8,365
8. 10,074,258

\boxed{128065, 358179, 278196, 72314, 88198, 736247, 8365, 10074258}